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Finding the Fourth Proportional to 7,904.32, 10,907.84 and 5,109.76

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Solution

The fourth proportional to 7,904.32, 10,907.84 and 5,109.76 is: 7,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.32 : 10,907.84 = 5,109.76 : x
  2. Step 2: Convert to fraction form
    7,904.32/10,907.84 = 5,109.76/x
  3. Step 3: Cross multiply
    7,904.32x = 10,907.84 × 5,109.76
  4. Step 4: Simplify right side
    7,904.32x = 55,736,444.52
  5. Step 5: Solve for x
    x = 55,736,444.52/7,904.32
  6. Step 6: Final answer
    x = 7,051.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.